X + 0.5y = 3
x^2 - y = 15
from the first equation:-
0.5y = 3 - x
y = 6 - 2x
Substitute for y in second equation:-
x^2 - (6 - 2x) = 15
x^2 + 2x - 21 = 0
x = [-2 +/- sqrt((4 - 4*-21)] / 2
= 3.6904 , -5.6904
Plugging in these into first equation we get
3.6904 + 0.5y = 3 so y = 2(3-3.6904) = -1.3808
-5.6904 + 0.5y = 3 so y = 2(3 + 5.6904) = 17.3808
Solution is x = 3.690, y = -1.381 ; x = -5.690, y = 17.38 ( to 4 s.f's)
Answer:
Step-by-step explanation:
144 = -16t² + 151t + 95
0 = -16t² + 151t - 49
quadratic formula
t = (-151 ±√(151² - 4(-16)(-49))) / (2(-16))
t = (-151 ± 140.23195) / -32
t = 0.34 s
t = 9.10 s
Answer:$252
Step-by-step explanation:
40 times 8= 240
She has 240 for regular time but she earned $12 for overtime, which makes the money she earned....$252
Answer: 
Step-by-step explanation:
Given
The points joining line segment are (-10,2) and (-10,-5)
Using section formula, a point joining segment 
divides it in k:1 has coordinates
, 
Ratio is 6:1
Coordinates are
Thus, the coordinates are
